64 citations · 333 across the 16 of their papers we have counts for
10 papers · 1 filter
A response function framework for the dynamics of meandering or large-core spiral waves and modulated traveling waves
Hans Dierckx, Alexander V. Panfilov, Henri Verschelde +2
In many oscillatory or excitable systems, dynamical patterns emerge which are stationary or periodic up in a moving frame of reference. Examples include traveling waves or spiral w…
Filament tension and phase-locked drift of meandering scroll waves
Hans Dierckx, Irina V. Biktasheva, Henri Verschelde +2
Rotating scroll waves are self-organising patterns which are found in many oscillating or excitable systems. Here we show that quasi-periodic (meandering) scroll waves, which inclu…
Drift of scroll waves in thin layers caused by thickness features: asymptotic theory and numerical simulations
I. V. Biktasheva, H. Dierckx, V. N. Biktashev
A scroll wave in a very thin layer of excitable medium is similar to a spiral wave, but its behaviour is affected by the layer geometry. We identify the effect of sharp variations…
Dynamics of filaments of scroll waves
Vadim N. Biktashev, Irina V. Biktasheva
This has been written as a chapter for "Engineering Chemical Complexity II", and as such does not have an abstract.
Asymptotic dynamics of reflecting spiral waves
Jacob Langham, Irina Biktasheva, Dwight Barkley
Resonantly forced spiral waves in excitable media drift in straight-line paths, their rotation centers behaving as point-like objects moving along trajectories with a constant velo…
Computation of the Drift Velocity of Spiral Waves using Response Functions
I. V. Biktasheva, A. J. Foulkes, D. Barkley +1
Rotating spiral waves are a form of self-organization observed in spatially extended systems of physical, chemical, and biological nature. In the presence of a small perturbation,…